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        <title>MathCity.org Beta - matric:9th_science</title>
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        <dc:date>2025-01-21T16:14:01+00:00</dc:date>
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        <title>Exercise 4.1</title>
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        <description>Exercise 4.1

On the following page we have given the solution of Exercise 4.1 of Mathematics 9 (Science) published by Caravan Book House, Lahore.
&lt;WRAP center round info 60%&gt;
We have created this page and it will be updated to add new solutions occasionally. Please stay in touch with this page.
&lt;/WRAP&gt;$3x^2+\frac{1}{x}-5$$3x^3-4x^2-x\sqrt{x}+3$$x^2-3x+\sqrt{2}$$\frac{3x}{2x-1}+8$$3x^2+\frac{1}{x}-5$$No (Reason:\frac{1}{x})$$3x^3-4x^2-x\sqrt{x}+3$$No (Reasons  \sqrt{x})$$x^2-3x+\sqrt{2}$$Yes$$\f…</description>
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        <dc:date>2025-01-21T16:14:01+00:00</dc:date>
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        <title>Exercise 6.1</title>
        <link>https://beta.mathcity.org/matric/9th_science/ex-6-1?rev=1737476041&amp;do=diff</link>
        <description>Exercise 6.1

On the following page we have given the solution of Exercise 6.1 of Mathematics 9 (Science) published by Caravan Book House, Lahore.
&lt;WRAP center round info 60%&gt;
We have created this page and it will be updated to add new solutions occasionally. Please stay in touch with this page.
&lt;/WRAP&gt;$39x^7y^3z$$91x^5y^6 z^7$$102xy^2z$$85x^2yz$$187xyz^2$$39x^7y^3z=13\times 3\times x^7 y^3 z$$91x^5y^6 z^7=13\times 7\times x^5 y^6 z^7$$13 x^5y^3z$$102xy^2z=2\times 3\times 17 xy^2z$$85x^2yz=3\tim…</description>
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        <title>Exercise 6.2</title>
        <link>https://beta.mathcity.org/matric/9th_science/ex-6-2?rev=1737476041&amp;do=diff</link>
        <description>Exercise 6.2

On the following page we have given the solution of Exercise 6.2 of Mathematics 9 (Science) published by Caravan Book House, Lahore.
&lt;WRAP center round info 60%&gt;
We have created this page and it will be updated to add new solutions occasionally. Please stay in touch with this page.
&lt;/WRAP&gt;$\frac{x^2-x-6}{x^2-9}+\frac{x^2+2x-24}{x^2-x-12}$\begin{align} \frac{x^2-x-6}{x^2-9}&amp;+\frac{x^2+2x-24}{x^2-x-12}\\
&amp;=\frac{x^2-3x+2x-6}{(x)^2-(3)^2}+\frac{x^2+6x-4x-24}{x^2-4x+3x-12}\\&amp;= \frac{x(…</description>
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        <title>Exercise 6.3</title>
        <link>https://beta.mathcity.org/matric/9th_science/ex-6-3?rev=1737476041&amp;do=diff</link>
        <description>Exercise 6.3

On the following page we have given the solution of Exercise 6.3 of Mathematics 9 (Science) published by Caravan Book House, Lahore.
&lt;WRAP center round info 60%&gt;
We have created this page and it will be updated to add new solutions occasionally. Please stay in touch with this page.
&lt;/WRAP&gt;$4x^2-12xy +9y^2$$x^2-1+\frac{1}{4x^2}, (x\neq 0)$$\frac{1}{16}x^2-\frac{1}{12}xy+ \frac{1}{36}y^2$$4(a+b)^2-12(a^2-b^2)+9(a-b)^2$$\frac{4x^6-12x^3y^3+9y^6}{9x^4-24x^2y^2+16y^4},(x \neq 0)$$\left(…</description>
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        <dc:date>2025-01-21T16:14:01+00:00</dc:date>
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        <title>Review exercise</title>
        <link>https://beta.mathcity.org/matric/9th_science/review_exercise?rev=1737476041&amp;do=diff</link>
        <description>Review exercise

On the following page we have given the solution of Review exercise of Mathematics 9 (Science) published by Caravan Book House, Lahore.
&lt;WRAP center round info 60%&gt;
We have created this page and it will be updated to add new solutions occasionally. Please stay in touch with this page.
&lt;/WRAP&gt;$x-2$$x^2+x-6$$x^2+x-6$$x+3$$x-2$$x+2$$c$$a^3+b^3$$a^2-ab+b^2$$a+b$$a^2-ab+b^2$$(a-b)^2$$a^2+b^2$$c$$x^2-5x+6$$x^2-x-6$$x-3$$x+2$$x^2-4$$x-2$$a$$a^2-b^2$$a^3-b^3$$a-b$$a+b$$a^2+ab+b^2$$a^2-a…</description>
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        <dc:date>2025-01-21T16:14:01+00:00</dc:date>
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        <title>Unit 08: Linear Graph and their Application</title>
        <link>https://beta.mathcity.org/matric/9th_science/unit08?rev=1737476041&amp;do=diff</link>
        <description>Unit 08: Linear Graph and their Application

On this page notes of Unit 08 of Mathematics 9 written by Dr. Karamat H. Dar and Prof. Irfan-ul-Haq are given.
[Unit 08: Linear Graph and their Application]
After studying this unit the students will be able to:

	*  Identity pair of real numbers as an ordered pair.$O$$\left( O \right)$$\left( a,b \right)$$a\,$$b$$y=c.$$x=a.$$y=mx.$$y=mx+c.$</description>
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        <dc:date>2025-01-21T16:14:01+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Unit 11: Parallelograms and Triangles</title>
        <link>https://beta.mathcity.org/matric/9th_science/unit11?rev=1737476041&amp;do=diff</link>
        <description>Unit 11: Parallelograms and Triangles

On this page notes of Unit 11 of Mathematics 9 written by Dr. Karamat H. Dar and Prof. Irfan-ul-Haq are given.
[Unit 08: Linear Graph and their Application]
After studying this unit, the students will be able to:

	*  prove that in a parallelogram
		*  the opposite sides are congruent,</description>
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